125514451040220 has 192 divisors, whose sum is σ = 426096446630400. Its totient is φ = 30420030942720.

The previous prime is 125514451040197. The next prime is 125514451040243. The reversal of 125514451040220 is 22040154415521.

125514451040220 is a `hidden beast` number, since 1 + 2 + 551 + 4 + 45 + 1 + 0 + 40 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (125514451040197) and next prime (125514451040243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20768416 + ... + 26121944.

It is an arithmetic number, because the mean of its divisors is an integer number (2219252326200).

Almost surely, 2^{125514451040220} is an apocalyptic number.

125514451040220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125514451040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213048223315200).

125514451040220 is an abundant number, since it is smaller than the sum of its proper divisors (300581995590180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125514451040220 is a wasteful number, since it uses less digits than its factorization.

125514451040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357505 (or 5357497 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 125514451040220 in words is "one hundred twenty-five trillion, five hundred fourteen billion, four hundred fifty-one million, forty thousand, two hundred twenty".